Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768by |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
11867308450816 = 210 · 74 · 136 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6729,130703] |
[a1,a2,a3,a4,a6] |
j |
13707167488/4826809 |
j-invariant |
L |
5.2461794219062 |
L(r)(E,1)/r! |
Ω |
0.65577242774913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768c2 10192p2 40768dq2 |
Quadratic twists by: -4 8 -7 |